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matrix_eigenvalue [2013/09/19 21:24] nikolaj |
matrix_eigenvalue [2017/07/04 22:08] nikolaj |
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===== Matrix eigenvalue ===== | ===== Matrix eigenvalue ===== | ||
- | ==== Definition ==== | + | ==== Set ==== |
- | | @#88DDEE: $A\in\mathrm{SquareMatrix}(n,\mathbb C)$ | | + | | @#55CCEE: context | @#55CCEE: $A\in\mathrm{SquareMatrix}(n,\mathbb C)$ | |
+ | | @#FFBB00: definiendum | @#FFBB00: $\lambda\in\mathrm{EigenVal}(A) $ | | ||
+ | | @#55EE55: postulate | @#55EE55: $\mathrm{det}(\lambda\cdot I_n-A)=0$ | | ||
- | | @#FFBB00: $\lambda\in\mathrm{EigenVal}(A) $ | | + | ----- |
- | + | ||
- | | @#55EE55: $\mathrm{det}(\lambda\cdot I_n-A)=0$ | | + | |
- | + | ||
- | ==== Discussion ==== | + | |
==== Parents ==== | ==== Parents ==== | ||
=== Subset of === | === Subset of === | ||
[[Eigenvalue]] | [[Eigenvalue]] | ||
- | === Requirements === | + | === Context === |
[[Leibniz formula for determinants]] | [[Leibniz formula for determinants]] |